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Finding the Fourth Proportional to 1,905.14, 2,857.86 and 606.60

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Solution

The fourth proportional to 1,905.14, 2,857.86 and 606.60 is: 909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.14 : 2,857.86 = 606.60 : x
  2. Step 2: Convert to fraction form
    1,905.14/2,857.86 = 606.60/x
  3. Step 3: Cross multiply
    1,905.14x = 2,857.86 × 606.60
  4. Step 4: Simplify right side
    1,905.14x = 1,733,577.88
  5. Step 5: Solve for x
    x = 1,733,577.88/1,905.14
  6. Step 6: Final answer
    x = 909.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.